This contribution deals with problems of calculus of variations constraint by a set of differential and algebraic equations (DAEs). DAEs are a natural approach for the modelling of lumped parameter systems in Mechatronics. We present a method for a class of DAEs, which are transformable to an explicit control system in principle. Since the proposed approach does not use this transform explicitly, only a transform to a canonical form for DAEs is used, the Euler-Lagrange equations of the variational problem are derivable by pure algebraic manipulation.
| Original language | English |
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| Title of host publication | Proceedings of 3rd MATHMOD VIENNA |
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| Pages | 227-230 |
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| Number of pages | 4 |
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| Volume | 1 |
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| Publication status | Published - 2000 |
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- 101028 Mathematical modelling
- 202 Electrical Engineering, Electronics, Information Engineering
- 202003 Automation
- 202017 Embedded systems
- 202027 Mechatronics
- 202034 Control engineering
- 203015 Mechatronics